3338125 has 30 divisors (see below), whose sum is σ = 4896870. Its totient is φ = 2268000.

The previous prime is 3338119. The next prime is 3338131. The reversal of 3338125 is 5218333.

It is an interprime number because it is at equal distance from previous prime (3338119) and next prime (3338131).

It can be written as a sum of positive squares in 5 ways, for example, as 988036 + 2350089 = 994^2 + 1533^2 .

It is not a de Polignac number, because 3338125 - 2³ = 3338117 is a prime.

It is a super-2 number, since 2×3338125² = 22286157031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

3338125 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3338125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30571 + ... + 30679.

It is an arithmetic number, because the mean of its divisors is an integer number (163229).

Almost surely, 2^3338125 is an apocalyptic number.

3338125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3338125 is a deficient number, since it is larger than the sum of its proper divisors (1558745).

3338125 is an equidigital number, since it uses as much as digits as its factorization.

3338125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 3338125 is about 1827.0536390593. The cubic root of 3338125 is about 149.4517019406.

The spelling of 3338125 in words is "three million, three hundred thirty-eight thousand, one hundred twenty-five".